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Finding the Fourth Proportional to 523.05, 719.67 and 452.88

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Solution

The fourth proportional to 523.05, 719.67 and 452.88 is: 623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.05 : 719.67 = 452.88 : x
  2. Step 2: Convert to fraction form
    523.05/719.67 = 452.88/x
  3. Step 3: Cross multiply
    523.05x = 719.67 × 452.88
  4. Step 4: Simplify right side
    523.05x = 325,924.15
  5. Step 5: Solve for x
    x = 325,924.15/523.05
  6. Step 6: Final answer
    x = 623.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.